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Module 10- Generating Equivalent Algebraic Expressions

Total questions: 10

Worksheet time: 3hrs 30mins

Name
Class
Date
1.

Write an expression to represent the difference of 100 and a number w

a)

100 + w

b)

100 / (6 + w)

c)

100 - w

d)

100 / 6 + w

2.

Nancy has n number of baseball cards. Tony has 3 fewer baseball cards than Nancy. Which expression shows the number of baseball cards Tony has?

a)

n × 3

b)

n – 3

c)

3 – n

d)

3 ÷ n

3.

Divide.

a)

4

b)

12

c)

6

d)

8

4.

evaluate bc + 5a

when a = 3, b = 4, and c = 6

a)

9

b)

29

c)

39

d)

19

5.
3(2x + z) when x=8 and z=2
a)
12
b)
30
c)
54
d)
60
6.

There are r rows of chairs with 7 chairs in each row. You can use the expression 7r to find the total number of chairs. If r=20, then find how many chairs there are.

a)

140 chairs

b)

720 chairs

c)

27 chairs

d)

70 chairs

7.

A cell phone company charges $40 per month plus a $35 activation fee. You can use the expression 40m + 35 to find the amount you would pay after m months. If you plan on having the cell phone for 6 months, how much would you pay?

a)

$441

b)

$81

c)

$275

d)

$355

8.

Are the following expressions equivalent if y=4?


5y - 8 and 2(5y -4)

a)

Yes, they are equivalent.

b)

No, they are not equivalent.

9.

Are the following expressions equivalent?


4( y - 1) and 1 + 4y

a)

yes

b)

no

10.

Which of the following is a situation to represent: 10y

a)

The total of 10 yoyos and some more yoyos.

b)

Ten groups of yoyos

c)

Ten yoyos split up among friends.

d)

The difference of ten yoyos and a number of yoyos.